A MODIFIED HSS ITERATION METHOD FOR SOLVING THE COMPLEX LINEAR MATRIX EQUATION AXB = C

作     者：Rong Zhou XiangWang Peng Zhou 

作者机构：Department of Mathematics School of Sciences Nanchang University Nanchang China Numerical Simulation and High-Performance Computing Laboratory School of Sciences Nanchang University Nanchang China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2016年第34卷第4期

页      面：437-450页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070102[理学-计算数学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：国家自然科学基金 major project of Jiangxi NSF the Program of Young Scientists of Jiangxi Province NSF of Jiangxi, China Science Fund of Educational Department of Jiangxi Province the Scientific Research Foundation of Graduate School of Nanchang University 

主　　题：MHSS iteration method HSS iteration method Linear matrix equation. 

摘      要：In this paper, a modified Hermitian and skew-Hermitian splitting （MHSS） iteration method for solving the complex linear matrix equation AXB = C has been presented. As the theoretical analysis shows, the MHSS iteration method will converge under cer- tain conditions. Each iteration in this method requires the solution of four linear matrix equations with real symmetric positive definite coefficient matrices, although the original coefficient matrices are complex and non-Hermitian. In addition, the optimal parameter of the new iteration method is proposed. Numerical results show that MHSS iteration method is efficient and robust.